Explain the operation of an AND gate with a truth table.

An AND gate is a fundamental digital logic gate that performs the logical AND operation on its inputs. It produces a true (1) output only when all of its inputs are true (1). Here’s how an AND gate operates along with its truth table:

Operation:

The AND gate has two inputs, typically labeled as A and B.
The output of the AND gate is true (1) only when both inputs A and B are true (1).
If any input A or B (or both) is false (0), the output of the AND gate is false (0).
Mathematically, the output of an AND gate (denoted as Y) can be expressed as:

Y=A⋅B

In words, the output Y is the logical AND operation of inputs A and B.

Truth Table:

A B Y (Output)
0 0 0
0 1 0
1 0 0
1 1 1
In the truth table:

When both A and B are 0, the output (Y) is 0.
When either A or B (or both) is 0, the output (Y) is 0.
Only when both A and B are 1, the output (Y) is 1.
This truth table illustrates the behavior of an AND gate, showing all possible combinations of inputs (A and B) and the corresponding output (Y).